document.write( "Question 635607: I need help on the step by step process on how to analyze the graph of this following function ?\r
\n" ); document.write( "\n" ); document.write( "R(x)= x^3 - 125 / x^2 - 49 ? \n" ); document.write( "
Algebra.Com's Answer #400468 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
I need help on the step by step process on how to analyze the graph of this following function ?
\n" ); document.write( "\"R%28x%29=+%28x%5E3+-+125%29+%2F+%28x%5E2+-+49%29+\"
\n" ); document.write( "\"R%28x%29=+%28x%5E3-5%5E3%29+%2F+%28x%5E2-7%5E2%29+\"
\n" ); document.write( "\"R%28x%29=+%28x-5%29%28x%5E2-5x%2B25%29+%2F+%28x%2B7%29%28x-7%29+\"
\n" ); document.write( "Because the degree of the numerator is one degree higher than that of the denominator,
\n" ); document.write( "function has a slant asymptote.
\n" ); document.write( "..
\n" ); document.write( "To find the equation of the slant asymptote, divide denominator by numerator.
\n" ); document.write( "By inspection, you can see you will get x+remainder. You can ignore the remainder.
\n" ); document.write( "equation of the slant asymptote: y=x
\n" ); document.write( "..
\n" ); document.write( "x-intercept:
\n" ); document.write( "set R(x)=0
\n" ); document.write( "x-5=0
\n" ); document.write( "x-intercept=5
\n" ); document.write( "..
\n" ); document.write( "y-intercept:
\n" ); document.write( "set x=0
\n" ); document.write( "-125/-49≈2.55
\n" ); document.write( "y-intercept≈2.55
\n" ); document.write( "..
\n" ); document.write( "vertical asymptotes:
\n" ); document.write( "set denominator=0
\n" ); document.write( "x=7
\n" ); document.write( "and
\n" ); document.write( "x=-7
\n" ); document.write( "..
\n" ); document.write( "number line:
\n" ); document.write( "<..-...-7...+....5....-....7....+.....>
\n" ); document.write( "The graph below shows the basic curve but I don't have the means to draw in the asymptotes.
\n" ); document.write( "However, it should be good guide how to graph the entire curve with asymptotes and all.\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+300%2C+-30%2C+30%2C+-30%2C+30%2C%28x%5E3+-+125%29+%2F+%28x%5E2+-+49%29%29+\" \n" ); document.write( "
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